A cylindrical water tank is being filled with a hose. The depth of the water increases by 1 1/4 ft per hour. How many hours will it take for the water level in the tank to be 3 1/2 ft deep?

Answers

Answer 1
Answer: A water tank has the shape of an inverted right circular cone with an altitude of 12ft anda base radius of 6ft. If water is being pumped into the tank at a rate of 10 gal/min(1.337f t3/min, approximate the rate at which the water level is rising when the water is 3 ft deep.hr126We know dvdt = 1.337, h = 3. We alsohave the relationship between h and r by using similar triangles.rh = 612or that r = 12hV = 13πr2h = 13π12h2h = 112πh3dVdt = 14πh2 ∗dhdt now plug in the info and solve for dhdtAnswer: dhdt = .1891f t/min
Answer 2
Answer: 2 and 3/4s hours
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Please I REALY NEED HELPTriangle ABC is similar to triangle LMN by the AA Similarity Postulate.

Also, m∠A = 108° and m∠C = 2(m∠M).

What is m∠M?

_________ °

Answers

since two of the triangles are similar that means they are the same thing : 
<A = <L
108 = 108

<C is twice from <M so :
<C is 2x                 < M is x             


as you note down the answer you can draw two triangles and label them according to thier values,  you will see that triangle ABC has two things now  ;
                                                           a = 108   and   c = 2x
when you have two measures in a triangle you can find the 3rd one :
suppose that third < of  triangle ABC is x ;
108 + 2x + x = 180
108 + 3x = 180
 3x = 180 - 108 
 3x = 72 
  x = 24
                
                                          <m = 24 

further if you want to find C :

                                          < c = 2x 
                                      < c = 2 ( 24 ) 
                                       < c = 48                  
 
                


The mean age of five children is 8 years 4 months. When Amina joins, the mean age becomes 8 years 5 months. How old is Amina. With workings please.

Answers

Answer:8 5/12 - 8 3/4

101/12- 35/4 LCM 12 &4 is 12

101- 35/12= 66/12

=5 6/12

=5 1/2 years

Step-by-step explanation:

Final answer:

The question is about the calculation of Amina's age. From the information provided, Amina's age is calculated to be 9 years 4 months. The calculation is done by first obtaining the total age before and after Amina joins then finding the difference.

Explanation:

Firstly, we know the mean age of five children, before Amina joins, is 8 years 4 months. To get the total age of these children, we multiply the mean by the number of children. So, 8 years 4 months x 5 gives 41 years 8 months in total.

Next, Amina joins, increasing the number of children to six and the mean age becomes 8 years 5 months. To get the new total age, we multiply the new mean by the total number of children, so, 8 years 5 months x 6 gives 51 years.

So, the age of Amina is found by subtracting the initial total age before she joined from the new total age after she joined, which is, 51 years - 41 years 8 months = 9 years 4 months.

Thus, Amina's age is 9 years 4 months.

Learn more about Mean Age Calculation here:

brainly.com/question/32227531

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What times 7 equals 56

Answers

seven times eight equals fifty six

Answer:

8

Step-by-step explanation:

8 multiplied/times 7 equals to 56.

Formulas:  8 x 7 = 56 | 8 * 7 = 56 | 8 · 7 = 56 |

Other Step-by-steps:

8+8+8+8+8+8+8 = 56

7+7+7+7+7+7+7+7 = 56

Hope this helps!

- HocusPocus

What did the ocean say to the iceburg ?

Answers

Nothing... he just waved.

Answer:

Nothing, he just waved

Step-by-step explanation:

Dad jokes hehehe

What is X? 3(4x−3)= -4+7

Answers

x = 1

Step-by-step explanation:

3(4x - 3) =  - 4 + 7

Expand:

3(4x - 3) = 12x - 9 \n 12x - 9 =  - 4 + 7

Simplify:Addvalues

12x - 9 = 3

Collect like terms and simplify

12x = 3 + 9 \n 12x = 12

Divide both sides of the equation by12

(12x)/(12)  =  (12)/(12)

Simplify

x = 1

Answer:

x = 1

Step-by-step explanation:

Original Equation:

3(4x - 3) = -4 + 7

Use the distributive property.

3 x 4x = 12x

3 x -3 = -9

Equation:

12x - 9 = -4 + 7

Add 4 to both sides.

12x - 5 = 7

Add 5 to both sides.

12x = 12

Divide both sides by 12

x = 1

Hope I helped :)

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Solve this equation: y/9 + 5 = 0. A. y = –5
B. y = 45
C. y = 5
D. y = –45
User: 12. Solve this problem: –282 – (+1,017) = ?
A. 1,299
B. –735
C. –1,299
D. 735

Answers

If you would like to solve the equation y/9 + 5 = 0, you can do this using the following steps:

y/9 + 5 = 0
y/9 = -5     /*9
y = -5 * 9
y = - 45

The correct result would be D. y = - 45.


If you would like to solve - 282 - (+ 1,017), you can do this using the following steps:

- 282 - (+ 1,017) = - 282 - 1,017 = - 1,299

The correct result would be C. - 1,299.